Respuesta :
Answer:
The perimeter of the equilateral triangle, P = 24 units
Step-by-step explanation:
All sides of an equilateral triangle are equal. The height of the equilateral triangle is given by :
[tex]h=\dfrac{\sqrt{3} }{2}\times a[/tex]
a is the side of triangle
If the height of an equilateral triangle is, [tex]h=4\sqrt{3}[/tex]
Equation (1) becomes,
[tex]a=\dfrac{2h}{\sqrt{3} }[/tex]
Put h in above formula. So,
[tex]a=\dfrac{2\times 4\sqrt{3}}{\sqrt{3} }[/tex]
a = 8
So, the side of triangle is 8. The sum of all sides is called perimeter of any figure. So,
[tex]P=8\times 3[/tex]
P = 24 units
So, the perimeter of the equilateral triangle is 24 units. Hence, this is the required solution.
